Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Evaluate the integral.

$ \displaystyle \int \tan^{-1} 2y dy $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Wen Zheng

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

01:53

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

27:53

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

03:23

Evaluate the integral.…

02:00

Evaluate the integrals.

01:05

01:42

Evaluate the integrals usi…

01:50

02:11

02:46

07:31

05:16

05:58

09:56

The problem is you've followed the integral and in a humorous to Why me? Why? With this problem we were used. My third of the integration by parts. The formula is into Girl. You were prom yaks. It's a call to you. Terms we minus the integral You prom. We, Jax, Now for our problem, we cannot you Is ICO too impounded hearers to why? Like we prom, it's equal to one. Then you prom is culture two over one plus Sure. Why? On the square and the V, it's the culture. Why now use the formula Here we have integral of ten in the humors to y the y is you go to utensil visa. This is why hams han and humorous too. Why? And then minus and grow. You're prompt hams Visa. This is why over one plus why Square eve? Why now compute! It's this part. But this part we can use you substitution on the lighting you is cultural denominator one plus well, why square and you? It's the culture eight times. Why? Why is this the integral is cultural one force and to get all you over you. This is want force Alan, You a U is one plus both square. So this is when one pass my square now into girl of tannins. Universe To Why? Why? It's the culture. Why? Times ten and universe to why minus one Force No. In one glass. Well, why square on DH plus the cast a number, see?

View More Answers From This Book

Find Another Textbook

06:39

A flagpole 3m high stands at the top of a pedestal 2m high located at one si…

04:54

Activity 3. (PERFORMANCE TASK) Read and understand the following problems th…

00:41

3. The seventh-graders at the middle school are going on a field trip to the…

01:00

You are going to decorate one wall of your bedroom by putting border along t…

01:07

7. After taking several practice tests, Brian improved the results of his GR…

There are 45 questions in an exam. For every correct answer, 5 points is awa…

02:26

Find the negative geometric mean between –12 and –108 and with solution pls<…

01:09

A. Classify each real number as a natural number (N), a whole number (w), an…

01:58

mr davis and ms lee saved the same amount of money. Mr davis spent 1140 on a…

01:38

2. In the sequence: 10, 7. 4. ... what term has a value of -296? 3. In the s…